Scientific Notation

Concept: In addition, round off according to least precise decimal place.

Step 1: Convert to same power.


Step 2: Apply significant figures.

Step 1: Understanding the Concept:
The rule for addition and subtraction with significant figures states that the final answer should have the same number of decimal places as the term with the fewest decimal places.

Step 2: Detailed Explanation:
Identify the decimal places in each number:
• 12.1100 has 4 decimal places.
• 18.0 has 1 decimal place.
• 1.012 has 3 decimal places. The term with the fewest decimal places is 18.0 (1 decimal place). Therefore, the final answer must be rounded to 1 decimal place. First, perform the addition: . Now, round 31.1220 to 1 decimal place. The digit in the hundredths place is 2, which is less than 5, so we round down.

Step 3: Final Answer:
The sum is 31.1.

Bernoulli's principle applies to non-compressible, non-viscous fluids that flow in a streamline manner. This means the fluid must have steady, laminar flow without turbulence. The principle cannot be applied to turbulent flow, which is chaotic and irregular. Step 1: Understand Bernoulli's principle.
Bernoulli's equation is based on the assumption of streamline flow, where the flow velocity and pressure are related along the streamline. It assumes that the fluid is incompressible and non-viscous.
Step 2: Streamline vs Turbulent Flow.
Streamline flow is characterized by smooth, parallel layers of fluid. In contrast, turbulent flow is irregular and has eddies or swirls, which violate the assumptions required for Bernoulli's principle.
Step 3: Conclusion.
Therefore, Bernoulli's principle is applicable to non-compressible, non-viscous fluids with streamline flow, which corresponds to option (A).
Final Answer: (A) Non-compressible non-viscous fluid having stream line flow